Howard has 3 more 50-cent coins than 5-cent coins. After he used 14 of his 50-cent coins, the total value of 50-cent coins is $1.70 more than the total value of 5-cent coins. How many coins did he have in the end?

	50¢	5¢
Before	1 u + 3	1 u
Change	- 14
After	1 u - 11	1 u

	50¢	5¢
Number	1 u - 11	1 u
Value	50	5
Total value	50 u - 550	5 u

$1 = 100¢
$1.70 = 170¢

Number of 50¢ coins in the end
= 1 u + 3 - 14
= 1 u - 11

Total value of 50¢ coins in the end
= 50 x (1 u - 11)
= 50 u - 550

Total value of 5¢ coins in the end
= 5 x 1 u
= 5 u

After using 14 50-cent coins, the value of 50-cent coins is 170¢ more than the value of 5-cent coins. If another 170¢ is added to the 5-cent coins, the total value of 50-cent coins and 5-cent coins will be the same.

50 u - 550 = 5 u + 170
50 u - 5 u = 170 + 550
45 u = 720

1 u = 720 ÷ 45 = 16

Number of coins that Howard had in the end
= 1 u + 1 u - 11
= 2 u - 11
= (2 x 16) - 11
= 32 - 11
= 21

Answer(s): 21